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Finding the Fourth Proportional to 2,458.99, 3,394.57 and 1,575.31

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Solution

The fourth proportional to 2,458.99, 3,394.57 and 1,575.31 is: 2,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.99 : 3,394.57 = 1,575.31 : x
  2. Step 2: Convert to fraction form
    2,458.99/3,394.57 = 1,575.31/x
  3. Step 3: Cross multiply
    2,458.99x = 3,394.57 × 1,575.31
  4. Step 4: Simplify right side
    2,458.99x = 5,347,500.07
  5. Step 5: Solve for x
    x = 5,347,500.07/2,458.99
  6. Step 6: Final answer
    x = 2,174.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.